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Solving by Graphing
Solve Using Substitution
Solving Using Elimination
Linear Inequalities
Linear Systems
100
y = 3x - 7 y - 2x = -6
(1, -4)
100
x = 2y - 2 3y = x + 6
(6, 4)
100
x + 3y = 4 2x - 6y = 8
(4, 0)
100
SEE WB p. 84: Write a linear inequality that represents the graph.
y<=-2x - 6
100
What is the diameter of a circle that has a radius of 4.5 meters?
What is 9 meters
200
x + y = 2 x + y = -1
no solution
200
y = 2x + 9 y = x + 6
(-3, 3)
200
x - 2y = -1 2x + y = 4
(3, -2)
200
A friend has $75 to buy some new shirts and pants. Each shirt s costs $11. Each pair of pants p costs $19. Write an inequality that shows how many shirts and pants your friend can buy.
11x + 19p <= 75
200
Using the letters M, A, T, H, O which letters have rotational symmetry?
What is H and O
300
x - y = 2 x + y = -2
(0, -2)
300
x + y = 1 2x + 3y = -4
(7, -6)
300
The sum of two numbers is 19, and their difference is 55. What are the two numbers?
-18 and 37
300
John borrowed $5,000 from the bank to make a down payment on a car. The bank charged 12% simple interest on the loan for three years. A) How much interest did John have to pay? B) What was the final amount John gave to the bank?
PART A: I = Prt I = 5000 x 0.12 x 3 I = $1800 PART B: 5000 + 1800 = $6,800
300
Find the length of each side of a regular pentagon if it has a perimeter of 40 cm.
What is 8 cm
400
x - 2y = 3 y = -2x + 6
(3, 0)
400
A fashion designer makes and sells hats. The material for each hat costs $5.50. The hats sell for $12.50 each. The designer spends $1400 on advertising. How many hats must the designer sell to break even?
INCOME: y = 12.5x EXPENSE: y = 5.5x + 1400 ANSWER: 200 hats
400
For the fundraiser, Will sold 225 candy bars. He earns $1 for each almond candy bar he sells and $0.75 for each caramel candy bar he sells. If he earned a total of $187.50, how many of each type of candy bar did he sell for the fundraiser?
150 caramel & 75 almond
400
Solve and make sure your answer is in LOWEST TERMS. 5 - 4 2/5
What is 3/5
400
Find the base of a parallelogram with a height of 8 meters and an area of 88 meters squared.
What is h = 11 meters
500
2x = -4y + 10 6y = -3x + 12
no solution
500
You just bought a coffee shop for $153,600. The prior owner had an average monthly revenue of $8600 and an average monthly cost of $5400. If your monthly costs and revenues remain the same, how long will it take you to break even?
REVENUE: y = 8600t EXPENSE: y = 5400T + 153,600 ANSWER: 48 months or 4 years
500
Jocelyn has $0.75 in her pocket made up of 27 nickels and dimes. How many of each type of coin does she have?
12 dimes & 15 nickels
500
Solve and make sure your answer is in LOWEST TERMS. -2 1/6 รท (-1 4/9)
What is 3/2 or 1 1/2
500
Find the width of a rectangle if its length is 20 meters and its perimeter is 56 meters.
What is w = 8 meters